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What is the minimum height height of a full binary tree?

Question

What is the minimum height height of a full binary tree?

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Solution

The minimum height of a full binary tree with 'n' nodes is log2(n+1), rounded down to the nearest whole number.

Here are the steps to calculate it:

Step 1: Count the total number of nodes in the tree. This is 'n'.

Step 2: Add 1 to 'n'.

Step 3: Take the base-2 logarithm of the result from step 2.

Step 4: Round down to the nearest whole number. This is the minimum height of the tree.

Please note that this formula assumes that the height of an empty tree is -1. If you consider the height of an empty tree to be 0, then the formula would be log2(n) rounded down.

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